Finding the Fourth Proportional to 1,824.83, 2,738.15 and 729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.83 : 2,738.15 = 729.50 : x
2. Step 2: Convert to fraction form
   1,824.83/2,738.15 = 729.50/x
3. Step 3: Cross multiply
   1,824.83x = 2,738.15 × 729.50
4. Step 4: Simplify right side
   1,824.83x = 1,997,476.78
5. Step 5: Solve for x
   x = 1,997,476.78/1,824.83
6. Step 6: Final answer
   x = 1,094.61